h-net: hqc127

Topological data

Orbifold symbol	2*222
Transitivity (vertex, edge, ring)	(1,3,2)
Vertex degrees	{10}
2D vertex symbol	{4.3.3.3.4.4.3.3.3.4}
Delaney-Dress Symbol	<127.1:5:1 2 3 5,2 4 5,1 3 5:4 3,10>
Dual net	hqc180

Derived s-nets

s-nets with faithful topology

7 records listed.

Image	s-net name	Other names	Space group	Space group number	Symmetry class	Vertex degree(s)	Vertices per primitive unit cell	Transitivity (Vertex, Edge)
	sqc3140		P42/nnm	134	tetragonal	{10}	4	(1,3)
	sqc7		P4/mmm	123	tetragonal	{10}	1	(1,3)
	sqc3121		Ibca	73	orthorhombic	{10}	4	(1,4)
	sqc3122		Ibca	73	orthorhombic	{10}	4	(1,4)
	sqc3153		Ibca	73	orthorhombic	{10}	4	(1,4)
	sqc341		Pnnn	48	orthorhombic	{10}	2	(1,3)
	sqc3290		I41/amd	141	tetragonal	{10}	4	(1,3)

s-nets with edge collapse

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Derived U-tilings

4 records listed.

Image	U-tiling name	PGD Subgroup	Transitivity (Vert,Edge,Face)	Vertex Degree	Vertex Symbol	P net	G net	D net
	UQC1789	*222222a	(2,5,4)	{10,10}	{4.3.3.3.4.4.3.3.3.4}{3.3.4.4.3....	sqc23	sqc3122	sqc1653
	UQC1790	*222222b	(2,5,4)	{10,10}	{4.3.3.3.4.4.3.3.3.4}{3.3.4.4.3....	sqc59	sqc3121	sqc341
	UQC1791	*222222a	(2,5,4)	{10,10}	{4.3.3.3.4.4.3.3.3.4}{3.3.4.4.3....	sqc3140	sqc3153	sqc1679
	UQC1792	*222222a	(2,5,4)	{10,10}	{4.3.3.3.4.4.3.3.3.4}{3.3.4.4.3....	sqc1909	sqc7	sqc3290

Symmetry-lowered hyperbolic tilings

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